منابع مشابه
Transformations Generalizing the Levi - Civita ,
Preliminary results concerning non-quadratic (and non-bijective) transformations that exibit a degree of parentage with the well known Levi-Civita, Kustaanheimo-Stiefel, and Fock transformations are reported in this article. Some of the new transformations are applied to non-relativistic quantum dynamical systems in two dimensions.
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We develop the basic elements of a Cauchy theory on the complex Levi-Civita field, which constitutes the smallest algebraically closed nonArchimedean extension of the complex numbers. We introduce a concept of analyticity based on differentiation, and show that it leads to local expandability in power series. We show that analytic functions can be integrated over suitable piecewise smooths path...
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The Levi-Civita (LC) solution is matched to a cylindrical shell of an anisotropic uid. The uid satis es the energy conditions when the mass parameter is in the range 0 1. The mass per unit length of the shell is given explicitly in terms of , which has a nite maximum. The relevance of the results to the non-existence of horizons in the LC solution and to gauge cosmic strings is pointed out. PAC...
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We obtain the most general static cylindrically symmetric vacuum solutions of the Einstein field equations in (4+N) dimensions. Under the assumption of separation of variables, we construct a family of Levi-Civita-Kasner vacuum solutions in (4 + N). We discuss the dimensional reduction of the static solutions. Depending on the reduction procedure, they can be interpreted either as a scalar-vacu...
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ژورنال
عنوان ژورنال: Edinburgh Mathematical Notes
سال: 1943
ISSN: 0950-1843,2051-2031
DOI: 10.1017/s0950184300000057